Solved: Let be a point on the ellipse with foci and and let and be the angles between
Chapter 10, Problem 59(choose chapter or problem)
Let be a point on the ellipse with foci and and let and be the angles between the lines , and the ellipse as in the figure. Prove that . This explains how whispering galleries and lithotripsy work. Sound coming from one focus is reflected and passes through the other focus. [Hint: Use the formula in on page 276 to show that .]
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